General case of degree two polynomials

This lecture covers the general case of degree two polynomials, introducing Viète's formula for finding the roots of a polynomial. The formula involves the coefficients of the polynomial and provides a way to calculate the roots without factoring. The lecture also explains the significance of the roots in the context of the polynomial equation, highlighting their relationship to the coefficients. Additionally, it explores the concept of roots as solutions to the polynomial equation, emphasizing their role in determining the behavior of the polynomial function.